Rebecca made an equation that models the height of a tree since she moved in. The height of the tree, h=3t+40 where H=height (in feet) and t=years. How big was the height of the tree when she moved in?

Answers

Answer 1

Answer:

40 feet

Step-by-step explanation:

The number of years since she moved in when she just moved in is 0,

thus, t=0

So,

H=3*0+40

H=40 feet

The height of the tree when Rebecca just moved in was 40 feet


Related Questions

For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.)John Caccioppo was interested in possible mechanisms by which loneliness may have deterious effects of health. He compared the sleep quality of a random sample to lonely people to the sleep quality of a random sample of nonlonely people.
The design described ______a, b, or c_________________________.
a. does not use a related sample
b. uses a related sample (repeated measures)
c. uses a related sample (matched subjects)

Answers

Answer:

The correct option is (a).

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or matched-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

In this case the researcher selected a random sample of the sleep quality of  lonely people and the random sample of the sleep quality of non-lonely people.

Both the sample in this case are selected from two very different population.

This clearly indicates that the study design is for non-related samples.

Thus, the correct option is (a).

¿Cuál es el Valor presente neto del nuevo equipo? Una empresa de reciclaje tiene el proyecto de hacer una inversión en equipo relacionado con el triturado de hule. Se pronostica que el nuevo equipo tiene un valor en el mercado de $150 000 y representará para la compañía un ahorro de mano de obra y desperdicio de materiales del orden de $50 000 anuales y al final de los cuales se espera una recuperación monetaria de $ 25,000 ( en el periodo cinco serían 75 000) Se toma en consideración que la vida útil estimada para el nuevo equipo es de 5 años. Se recomienda considerar que la empresa ha fijado una TREMA (tasa de rendimiento mínima aceptable) de 20%.

Answers

Answer:

so I dont understand Spanish sorry I just need the points ㅠㅠ

What is the vertex of the graph of y+2x+3=-(x+2)^2+1

Answers

Answer:

(-3, 3)

Step-by-step explanation:

Two numbers are in the ratio of 3:4. If they sum of the numbers is 63, find the numbers

Answers

Answer:

27 and 36

Step-by-step explanation:

Let's call the two numbers x and y.

[tex]3x=4y \\\\x+y=63[/tex]

If you subtract y from both sides of the second equation, you can isolate x and substitute it into the first equation:

[tex]x=63-y \\\\3(63-y)=4y\\\\189-3y=4y\\\\189=7y\\\\y=27\\\\x=63-27=36[/tex]

Hope this helps!

Evaluate the following Integrals ∫sin

Answers

Answer:

[tex]\displaystyle \int {xsinx} \, dx = -xcosx + sinx + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

IntegralsIndefinite IntegralsIntegration Constant C

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {xsinx} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Set u:                                                                                                             [tex]\displaystyle u = x[/tex][u] Differentiate [Basic Power Rule]:                                                             [tex]\displaystyle du = dx[/tex][dv] Trigonometric Integration:                                                                     [tex]\displaystyle v = -cosx[/tex]Set dv:                                                                                                           [tex]\displaystyle dv = sinx \ dx[/tex]

Step 3: Integrate Pt. 2

[Integral] Integration by Parts:                                                                       [tex]\displaystyle \int {xsinx} \, dx = -xcosx - \int {-cosx} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {xsinx} \, dx = -xcosx + \int {cosx} \, dx[/tex][Integral] Trigonometric Integration:                                                             [tex]\displaystyle \int {xsinx} \, dx = -xcosx + sinx + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Eggs are sorted into two sizes (large and extra large) at the Cheerful Chicken Dairy. Unfortunately, business has not been good lately, and since the Cheerful Chicken’s 40-year-old egg-sorting machine finally gave up the ghost there have been no funds available to replace it. Instead, Old Fred, one of the firm’s sharper-eyed employees, has been equipped with a "Large" rubber stamp in his right hand and an "X-large" stamp in his left and assigned to stamp each egg with the appropriate label as it goes by on the conveyor belt. Down the line, another employee puts the eggs into either of two hoppers, each egg according to its stamp. The system works reasonably well, all things considered, except that Old Fred has a heavy hand and on the average breaks 30% of the 120 eggs that pass by him each minute. At the same time, a check of the "X-large" stream reveals a flow rate of 70 eggs/min, of which 25 eggs/min are broken.
1. Draw and label a flowchart for this process.
2. Write and solve balances about the egg sorter on
total eggs and broken eggs.
3. How many "large" eggs leave the plant each minute, and what fraction of them are broken?
4. Is Old Fred right- or left-handed?

Answers

Answer:

1) Flowchat Attached

2) See the Explanation

3) Large eggs leaving plant per minute =  [tex]E_L=50(eggs/min)[/tex]

   Percetange of broken = 22%

4) Right Handed

Step-by-step explanation:

1) Flowchart

(SEE THE ATTACHMENT)

2) Balance Equations

Egg balance:

[tex]E_{in}=E_X +E_L\\[/tex]

[tex]120(eggs/min)=E_L + 70(eggs/min)\\E_L=120(eggs/min)-70(eggs/min)\\E_L=50(eggs/min)[/tex]

Broken Egg Balance:

[tex](0.3)E_{in}=(x)E_L+ E_X\\0,3\cdot120=x\cdot50+25\\36=50x+25\\50x=36-25\\50x=11\\x=\frac{11}{50}\\x=0.22\\[/tex]

3) Large eggs leaving, % of them broken

Number of large eggs leaving each minute was found by egg balance in Part (2)

[tex]E_L=50(eggs/min)[/tex]

Fraction of them broken was found by broken egg balance in Part (2)

x=0.22

Convert it into a percentage

[tex]x=\frac{22}{100}\cdot10 = 22\%\\[/tex]

4) Fred Right or Left Handed?

Percentage of broken eggs in Right hand = 22%

Percentage of broken eggs in Left Hand = [tex]\frac{25}{70}\cdot100=36\%[/tex]

As percentage of broken eggs in his Right hand is less than in his Left Hand, He is RIGHT HANDED.

A researcher finds that of 1000 people who said that they attend a religious service at least once a week, A stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, B stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are equal.

Answers

Answer:

There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).

Step-by-step explanation:

The question is incomplete:

"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

[tex]p_1=X_1/n_1=31/1000=0.031[/tex]

The sample 2, of size n2=1200 has a proportion of p2=0.018.

[tex]p_2=X_2/n_2=22/1200=0.018[/tex]

The difference between proportions is (p1-p2)=0.013.

[tex]p_d=p_1-p_2=0.031-0.018=0.013[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{31+22}{1000+1200}=\dfrac{53}{2200}=0.024[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.024*0.976}{1000}+\dfrac{0.024*0.976}{1200}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0}=0.007[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.013-0}{0.007}=\dfrac{0.013}{0.007}=1.98[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]P-value=2\cdot P(z>1.98)=0.048[/tex]

As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions are not equal.

Answer the question and do it correctly!

Answers

Answer:

2.4

Step-by-step explanation:

PEMDAS

(Parentheses) 6 + -5.8 = 0.2

(Multiplication) 3.4 - 5 x 0.2

(Subtraction) 3.4 - 1 = 2.4

2.4

I'm always happy to help :)

a number cube is rolled 2 times in a row. What is the probability of rolling a number greater than 2 both times?

Answers

Answer:

70%

Step-by-step explanation:

Answer:

The probability of rolling a number greater than 2 two times in a row is arond 0.44

Step-by-step explanation:

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.

In a certain city, the monthly cost of telephone service is given the function C = 0.10n + 18, where n is the number of calls, 10 cents is the cost per call, and $14 is a fixed charge. Find the cost of making 60 calls a month.

Answers

Answer:

The cost of making 60 calls a month is $20.

Step-by-step explanation:

There was a small typing mistake there. If the fixed charge is $14, the cost of n calls is given by the following equation:

[tex]C(n) = 0.1n + 14[/tex]

Find the cost of making 60 calls a month.

This is C(60), that is, C when n = 60. So

[tex]C(n) = 0.1n + 14[/tex]

[tex]C(60) = 0.1*60 + 14 = 20[/tex]

The cost of making 60 calls a month is $20.

In the diagram below BD parallel to XY. What is the value of 2

Answers

Answer:69

Step-by-step explanation: Because I am smart

Researchers suspect that myopia, or nearsightedness, is becoming more common over time. A study from the year 2010 showed 123 cases of myopia in 400 randomly selected people. Another study from the year 2019 showed 228 cases in 600 randomly selected people. We are going to do a hypothesis test to see if p1 = the proportion of people who have myopia in 2019 is equal to p2 = proportion of people who have myopia in 2010 at the 0.05 significance level.
null and alternative hypothesis ?
a. H0:P1=P2; Ha:P1≥P2
b. H0:P1=P2; Ha:P1≠P2
c. H0:P1≠P2; Ha:P1=P2
d. H0:P1≥P2; Ha:P1≠P2

Answers

Answer:

We want to test if the  if p1 = the proportion of people who have myopia in 2019 is equal to p2 = proportion of people who have myopia in 2010 (alternative hypothesis) , then the system of hypothesis are:

Null hypothesis: [tex]p_1 = p_2[/tex]

Alternative hypothesis: [tex] p_1 = p_2[/tex]

And the best option would be:

b. H0:P1=P2; Ha:P1≠P2

Step-by-step explanation:

For this case we have the following info given:

[tex]X_1 = 228 [/tex] the myopia cases in 2019

[tex] n_1= 600[/tex] the sample size in 2019

[tex] \hat p_1= \frac{228}{600}= 0.38[/tex] estimated proportion of myopia cases in 2019

[tex]X_2 = 123 [/tex] the myopia cases in 2010

[tex] n_2= 400[/tex] the sample size in 2010

[tex] \hat p_2= \frac{123}{400}= 0.3075[/tex] estimated proportion of myopia cases in 2010

And we want to test if the  if p1 = the proportion of people who have myopia in 2019 is equal to p2 = proportion of people who have myopia in 2010 (alternative hypothesis) , then the system of hypothesis are:

Null hypothesis: [tex]p_1 = p_2[/tex]

Alternative hypothesis: [tex] p_1 = p_2[/tex]

And the best option would be:

b. H0:P1=P2; Ha:P1≠P2

And we can conduct a two sample z proportion test in order to verify the hypothesis.

Answer:

< 0.5 \leqslant pvalue < 0.10[/tex]answer C on khan academy

A fair coin is tossed, and a marble is chosen from the bag whose contents are shown below. 3 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of the coin landing heads up and a blue (B) marble being randomly selected?

Answers

Answer:

3/20

Step-by-step explanation:

Red = 3

Blue = 3

Green = 4

Total = 3+3+4 = 10

Pr (red) = 3/10

Pr blue) = 3/10

Pr (green) = 4/10

Where Pr = probability

You either have a head or a tail when tossing a coin

Probability of having head = 1/2

Probability of having tail = 1/2

The probability of the coin landing heads up and blue marble = Probability of head ×Pr (blue)

= 1/2 × 3/10

the probability of the coin landing heads up and blue marble = 3/20

Answer:

3/20

Step-by-step explanation:

Please answer this correctly

Answers

Answer

51

Explanation

85/15=y/9

765=15y

51

Answer:

y = 51

Step-by-step explanation:

These triangles are similar, so you can set up a proportion to solve for y:

[tex]\frac{85}{15} =\frac{y}{9}[/tex]

Cross multiply:

[tex]\frac{765}{15y}[/tex]

Divide 765 by 15:

y = 51

Evaluate-2+7x^2-2x^3-8x+7x^4 at x=5

Answers

Answer:

4262

Step-by-step explanation:

2 + 7x^2- 2x^3-8x +7x^4     at x = 5

= 2 + 7*(5)^2 - 2*(5)^3-8*5 +7*(5)^4

=2+175-250-40+4375

=4552-290

=4262

___, ___, 17, ___, ___, 29 Work out the missing terms. Work out the nth term

Answers

Answer:

The sequence is of the form

9 ,   13 , 17 , 21 , 25 ,29

Step-by-step explanation:

Explanation:-

Step(i):-

Given sequence   , ___, __17_ ,___,___ 29

The third term = 17

          a + (3-1)d = 17

          a + 2 d = 17 ...(i)

The sixth term = 29

      a + (6-1)d =29

      a + 5 d  = 29 ...(ii)

solving (i) and (ii) equations

Subtracting (i) and (ii) equations , we get

 a + 2 d -a -5 d = 17 -29

   - 3 d = - 12

       d =4

Substitute 'd' =4 in equation (i)

   a + 2 d = 17

  a + 2(4) =17

  a = 17 -8 = 9

Step(ii):-

The arithmetic sequence

            a ,   a+d ,   a+2 d  ,  a+ 3 d , a+ 4 d , a+5 d

            9  , 9 + 4, 9 +2 (4) , 9+3(4) , 9 +4(4) , 9+5(4)

             9 ,   13 , 17 , 21 , 25 ,29

Conclusion:-

The sequence is of the form

9 ,   13 , 17 , 21 , 25 ,29

   

9, 13, 17, 21, 25, 29

Please answer this correctly

Answers

Answer:

8

Step-by-step explanation:

18(4/3)=24

6(4/3)=h

h=8

Answer:

h = 8

Step-by-step explanation:

These shapes are similar, so you can set up a proportion to solve for h:

[tex]\frac{24}{18}= \frac{h}{6}[/tex]

Cross multiply:

[tex]\frac{144}{18h}[/tex]

Divide 144 by 18:

h = 8

Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!

Answers

Answer:

11

4

Step-by-step explanation:

3 hrs to travel 45 miles downstream

4 hrs to travel 28 miles upstream

speed of boat in still water= s

speed of the current= c

s+c= 45/3= 15s-c= 28/4=7

added up the 2 equations, we get:

2s= 22s= 11 mphc= 4 mph

There are 64 students in a speech contest. Yesterday, Ā of them gave their speeches. Today, 7 of the remaining students gave their speeches. How many
students still haven't given their speeches?
M

Answers

Answer:

23

Step-by-step explanation:

Ā means the average

So it means the average of 64 gave their speech which should be 64/2 = 32

So 32 gave their speeches yesterday,

7 gave today

Total number that has given is

32 + 7 = 39

Therefore the number remaining are

62 - 39 = 23

Someone please help me! Ill give the brainlest if its correct! A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

therefore x equals 3

Step-by-step explanation:

g(1) = 1² + 1 = 2

Mr. Lim and Mr. Tay had $31 090 at first.Mr. Lim donated $2390 of his money and Mr. Tay spent half of his money on a holiday trip. As a result, Mr. Lim had 3 times as much money as Mr. Tay. How much money did Mr. Lim have at first?

Answers

Answer:

Mr.Lim had 19610 dollars, and Mr.Tay had 11480 dollars at first.

Step-by-step explanation:

Mr. Lim had 19610 dollars at first.

To find how much did Mr. Lim had at first.

Given:

Mr. Lim and Mr. Tay had $31 090 at first.

Mr. Lim donated $2390 of his money and

Mr. Tay spent half of his money on a holiday trip.

Mr. Lim had 3 times as much money as Mr. Tay.

Step 1:

Let Mr. Tay had x

Let Mr. Lim had y

x + y=31090………..(1)

Step 2:

Mr. Tay spent on holiday = x + 2390/2

Money left with Mr. Lim = y - 2390

Given,

y - 2390 = 3(x + 2390/2) .............(2)

Step 3:

Equating equation (1) and (2)

we get,

x = 11480

y = 19610

Hence, Mr. Lim has $19610, and Mr. Tay had $11480 dollars at first.

To learn how to calculate the amount spent, refer,

https://brainly.com/question/2263981

#SPJ2

Select the correct answer.
Circle O is represented by the equation (x + 7)2 + (x + 7)2 = 16. What is the length of the radius of circle O?
A. 3
B. 4
C. 7
D. 9
E. 16

Answers

Answer:

4

Step-by-step explanation:

because r2=16 so you have to find the square root of 16 to get r

tg15°=.... Help me please ​

Answers

Answer:

2-sqrt(3)

Step-by-step explanation:

google said

Which number is the additive inverse of -5?
1
О-5
ОО
ch.
O5

Answers

Answer:

5

Step-by-step explanation:

Additive inverses are two numbers that add to 0.

Since -5 + 5 = 0, then the additive inverse of -5 is 5.

Answer: 5

Answer:

It would just be the opposite -5 the inverse is 5.

Step-by-step explanation:

Hope my answer has helped you in anyway and if not I am sorry.

Find the area of a trapezoid with base lengths 3 and 5 and heigh of 9

Answers

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Formula for area: [tex]A = \frac{1}{2}(^{b}1 + ^{b}2)(h)[/tex]

In this formula, the bases are the parallel sides.

Now plug the information into the formula.

[tex]A = \frac{1}{2} (3 + 5)(9)[/tex].

Follow your order of operations, simplify inside the parentheses first.

[tex]A = \frac{1}{2}(8)(9)[/tex].

(1/2)(8) is 4 so we have (4)(9) which is 36.

So the area of the trapezoid is 36.

are the values of the expressions 2m−13 and m+3 equal?

Answers

Answer:

The correct answer is m=8

Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.

Answers

Ivan gets £120 and Tanya gets £30 so the difference is £90

Answer:

Ivan gets £90 more than Tanya.

Step-by-step explanation:

£150÷5=£30

Every 1 part of the ratio is £30

Ivan : Tanya

£120:   £30

Ivan gets £90 more than Tanya.

are all parallelograms quidrilaterals

Answers

Answer:

yes

Step-by-step explanation:

All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. ... All rectangles are parallelograms, but not all parallelograms are rectangles. And all of these shapes are quadrilaterals.

Which situation shows a constant rate of change? A. The number of play tickets sold compared with the number of minutes before the play starts B. The height of a helicopter over time C. The cost of fabric compared with its length in yards D. The outside temperature compared with the number of glasses of lemonade sold

Answers

Answer:

C - The cost of fabric compared with its length over time.

How much pure acid is in 780 milliliters of a 12​% ​solution?

Answers

Answer:

93.6 ml

Step-by-step explanation:

12% of that 780 ml is pure acid:  0.12(780 ml) = 93.6 ml

The amount of pure acid is 93.6 ml.

What is proportion?

Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are key foundations to understand the various concepts in mathematics as well as in science.

The direct proportion formula says if the quantity y is in direct proportion to quantity x, then we can say y = kx, for a constant k. y = kx is also the general form of the direct proportion equation.

Given:

You have 780 ml of a 12% solution

So,

780 ml represents 100%,

x ml represents 12%.

Using proportion:

780/x= 100/12

780*12/100=x

93.6 ml = x

Learn more about this concept here:

https://brainly.com/question/4867351

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The company has decided that the basis for applying factory overhead should be machine hours, which is estimated to be 50,000 hours. The total machine hours for the year were 54,300. The actual factory overhead for the year was $1,375,000. a) Determine the total factory overhead amount applied. b) Calculate the over or under applied amount for the year. c) Prepare the journal entry to close factory overhead into Cost of Goods Sold. PLEASE HELP MEEEEE!!!! according to the preamble who gives power to the constitution Explain why a curfew was established in Detroit. maintaining a balance within the organism is called from West Side Story: Which inference can be best made about Tony?Question 16 options:a) He is empathetic.b) He is confident.c) He is helpful.d) He is boring. Type the correct answer in the box Spell the word correctly.What is the correct term below?Mary is teaching students about environmental safety. She knows learners understand about environmental safety when they sey everyone is blankfor it adapted from "An Extended Map of the Human Brain " NIH Research Matters Our thinking, perception, and ability to understand language are processed in the outermost layer of the brain. This area is known as the cerebral cortex. Researchers are still working to understand how the cerebral cortex is organized. Scientists have used a variety of techniques to map the brain's organization over the past century . However , these measures don't always reveal the same boundaries and borders in the brain's landscape . A team at Washington University in St. Louis wanted to get a better view of how the cortex is organized . This team , led by Dr. Matthew Glasser and Dr. David Van Essen , combined several measures to create one brain map . The team collected high quality magnetic resonance imaging (MRI ) data from 130 female and 80 male participants . The researchers measured both structural and functional aspects of the participantsThe author implies that the researchers on this project are pioneers in their field. The researchers measured both structural and functional aspects of the participants' brains. MRI scans revealed the thickness of the cortex and the amount of protective covering surrounding brain cells. Functional MRIs measured the participants' brain activity during a resting state. They also measured their brain activity while performing different tasks , such as listening to a story, looking at pictures , or doing math. The scientists used the data to identify brain regions based on specific roles and determine which regions correlated to specific activities . The researchers combined the data from these multiple measures , focusing on where at least two measures changed together across the surface of the cortex . This approach mapped 180 distinct areas in the brain . Finally , the team verified that the brain map created from the averaged data set could be applied to new data . "These new insights and tools should help to explain how our cortex evolved and the roles of its specialized areas in health and disease , and could eventually hold promise for unprecedented precision in brain surgery and clinical work -ups ," says Dr. Bruce Cuthbert, acting director of NIH's National Institute of Mental Health . How does the author's use of chronological order help to convey this idea?A. It allows the author to explain how the steps the researchers took helped them become famous B. It allows the author to show that the information gained in this research is new. C. It allows the author to identify the problems that existed in the previous researchD. It allows the comparison of this research to other research going on in the medical field E. It allows the author to show how long it takes to conduct this type of research about how many MORE people lived in Philadelphia than Boston in 1790? Whats the correct answer for this question? Which absolute value function when graphed will be narrow than the graph of the parents function f(x)=|x| Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X based on the sequence -13, -8, -3, 2, 7, 12 what will be the 500th term? Which statement is true concerning one of the differences between a short story and a script for a play?A.A short story is always told by an outside observer, and a script tells the story through the words of the characters.B.It is easier for the reader to understand the setting in a script because the scenery is always described in detail.C.In a short story, characters' actions are described by the narrator; in a script, characters' actions are described in stage directions.D.Short stories usually have more characters than scripts for a play. Help me please!! Its due soon!!